Multi-Mode Response of a Square Membrane : Vibration, Control Engineering, Engineering for Industry
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概要
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The problem of the nonlinear forced oscillations of a square membrane is considered. For a theoretical analysis, modal equations are first derived from the governing nonlinear partial differential equations. Then, based on these modal equations, the characteristics of oscillations induced by harmonic excitation near a primary resonance point are discussed. A numerical calculation is conducted for a typical case in which the excitation frequency comes near to the resonance point of the mode with one nodal line. It is shown that near this resonance point, two modes which exist with the same natural frequency and with the same modal shape are excited simultaneously due to nonlinear coupling, and thus two-mode oscillations can occur. It is also shown that two kinds of two-mode oscillations are possible, one in which the two modes are excited with a time lag of nearly π/2, and the other without a time lag. The former implies the occurrence of oscillations of the rotary-type, and the latter the occurrence of oscillations whose nodal line is shifted from that of the linear harmonic oscillation. An experimental analysis is also conducted, which confirms the validity of the theoretical analysis.
- 一般社団法人日本機械学会の論文
著者
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Yasuda Kimihiko
School Of Engineering Nagoya University
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Torii T
Shizuoka Univ. Hamamatu Jpn
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Torii Takao
School Of Engineering Nagoya University
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